Which of the following arranges the settlement types in descending order in terms of complexity of functions?

The correct answer is: Metropolis, city, town, village and hamlet, which is option A. Settlement types can be arranged in a hierarchy based on their size, complexity of functions and population. A metropolis is the largest settlement type and is typically the center of political, economic and cultural activity for a region or country. Cities are also large settlements, but may not have the same level of economic or political influence as a metropolis. Towns are smaller than cities and typically have a more limited range of functions, such as serving as a center for commerce or government in a local area. Villages are smaller still, and often have a more rural character, with a focus on agriculture or other primary economic activities. Finally, hamlets are the smallest settlement type, consisting of just a few households or families. Therefore, option A arranges the settlement types in descending order of complexity of functions and population, with metropolis at the top, followed by city, town, village, and finally hamlet at the bottom.